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Finding the Third Proportional to 109,452 and 239,472

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Solution

The third proportional to 109,452 and 239,472 is: 523,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,452 : 239,472 = 239,472 : x
  2. Step 2: Convert to fraction form
    109,452/239,472 = 239,472/x
  3. Step 3: Cross multiply
    109,452x = 239,472 × 239,472
  4. Step 4: Simplify right side
    109,452x = 57,346,838,784
  5. Step 5: Solve for x
    x = 57,346,838,784/109,452
  6. Step 6: Final answer
    x = 523,945.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.